%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP143-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 16:14:34 EDT 2022

% Result   : Unsatisfiable 0.21s 0.49s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   12 (  12 unt;   0 def)
%            Number of atoms       :   12 (  11 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f77,plain,
    $false,
    inference(unit_resulting_resolution,[],[f18,f54]) ).

fof(f54,plain,
    ! [X2,X1] : greatest_lower_bound(X2,X1) = greatest_lower_bound(X2,greatest_lower_bound(X2,X1)),
    inference(superposition,[],[f40,f4]) ).

fof(f4,axiom,
    ! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_glb) ).

fof(f40,plain,
    ! [X6,X5] : greatest_lower_bound(X5,greatest_lower_bound(X6,X5)) = greatest_lower_bound(X5,X6),
    inference(forward_demodulation,[],[f36,f6]) ).

fof(f6,axiom,
    ! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(greatest_lower_bound(X0,X1),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_glb) ).

fof(f36,plain,
    ! [X6,X5] : greatest_lower_bound(greatest_lower_bound(X5,X6),X5) = greatest_lower_bound(X5,X6),
    inference(superposition,[],[f23,f10]) ).

fof(f10,axiom,
    ! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lub_absorbtion) ).

fof(f23,plain,
    ! [X2,X1] : greatest_lower_bound(X1,least_upper_bound(X2,X1)) = X1,
    inference(superposition,[],[f11,f5]) ).

fof(f5,axiom,
    ! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_lub) ).

fof(f11,axiom,
    ! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',glb_absorbtion) ).

fof(f18,plain,
    greatest_lower_bound(a,b) != greatest_lower_bound(a,greatest_lower_bound(a,b)),
    inference(superposition,[],[f16,f4]) ).

fof(f16,axiom,
    greatest_lower_bound(a,b) != greatest_lower_bound(greatest_lower_bound(a,b),a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ax_glb2b) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP143-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n020.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 29 22:19:00 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  % (1370)lrs+10_1:128_bd=off:drc=off:fd=preordered:nwc=1.6:urr=on:i=103:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/103Mi)
% 0.21/0.49  % (1370)First to succeed.
% 0.21/0.49  % (1370)Refutation found. Thanks to Tanya!
% 0.21/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.49  % (1370)------------------------------
% 0.21/0.49  % (1370)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49  % (1370)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49  % (1370)Termination reason: Refutation
% 0.21/0.49  
% 0.21/0.49  % (1370)Memory used [KB]: 5500
% 0.21/0.49  % (1370)Time elapsed: 0.087 s
% 0.21/0.49  % (1370)Instructions burned: 4 (million)
% 0.21/0.49  % (1370)------------------------------
% 0.21/0.49  % (1370)------------------------------
% 0.21/0.49  % (1348)Success in time 0.139 s
%------------------------------------------------------------------------------